Archimedian local -rings and models of synthetic differential geometry
Marta Bunge, Eduardo J. Dubuc (1986)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Marta Bunge, Eduardo J. Dubuc (1986)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Oscar P. Bruno (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Ibragimov, Zair (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Arian-Nejad, M. (2002)
International Journal of Mathematics and Mathematical Sciences
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Gianluca Gorni, Gaetano Zampieri (1994)
Annales Polonici Mathematici
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We provide a number of either necessary and sufficient or only sufficient conditions on a local homeomorphism defined on an open, connected subset of the n-space to be actually a homeomorphism onto a star-shaped set. The unifying idea is the existence of "auxiliary" scalar functions that enjoy special behaviours along the paths that result from lifting the half-lines that radiate from a point in the codomain space. In our main result this special behaviour is monotonicity, and the auxiliary...
Jan W. Cholewa, Aníbal Rodríguez-Bernal (2014)
Mathematica Bohemica
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We consider the Cahn-Hilliard equation in with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as and logistic type nonlinearities. In both situations we prove the -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).
Novotny, Antonin (1997)
Portugaliae Mathematica
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Mâagli, Habib, Zribi, Malek (2006)
Abstract and Applied Analysis
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